- #1
Frogeyedpeas
- 80
- 0
Hey guys so I was thinking about how to extend the Complex Plane out to a third dimension and I started reading the whole tidbit about Quaternions and their mechanics when I realized that I want to propose a whole new question. Now please feel free to prove me wrong if you can answer it because I haven't found a whole lot.
Imagine a number J who satisfies the solution to the following equation
Logb(J) = -b
FOR ALL B:
There is no complex number that satisfies that solution and I believe (as uneducated as I might be in this subject) that there is no Quaternion, Octonion or any type of standard Algebraic extension of the number line that satisfies this equation. If this number J can be proposed as the new number extension to the complex plane, then,
We get numbers being described in the form of:
a + bi + cj. Now keeping in mind the ability for numbers to cross:
a + bi + cj + dji is what this number can look like...
What's your take on it?
Imagine a number J who satisfies the solution to the following equation
Logb(J) = -b
FOR ALL B:
There is no complex number that satisfies that solution and I believe (as uneducated as I might be in this subject) that there is no Quaternion, Octonion or any type of standard Algebraic extension of the number line that satisfies this equation. If this number J can be proposed as the new number extension to the complex plane, then,
We get numbers being described in the form of:
a + bi + cj. Now keeping in mind the ability for numbers to cross:
a + bi + cj + dji is what this number can look like...
What's your take on it?
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